Response:
The measurement of side j is 11.85cm.
Step-by-step clarification:
Given the situation
In triangle JKL,


Side k=LJ=3.7cm
To determine side j=KL:
Utilizing the sine rule
We can express it as

Using the triangle's property




Hence,
The measurement of side j is 11.85cm.
Answer: The image of the line segment as reflected across the line y = –x.
Explanation:
In reflecting across the line y = -x, the coordinates of x and y will switch positions, and their signs will also switch.
Given: The endpoints of a line segment are (–1, 4) and (4, 1), and their reflection results in the endpoints (–4, 1) and (–1, –4).
(-1, 4)→(-4, 1) and
(4, 1)→(-1, -4)
This demonstrates the reflection of the line segment across the line y = –x.
Response:
6.48
Detailed explanation:
The calculation required to determine the number of tiles for the border is presented below:-

Here,
The length measures 2.02 m
And the width is 1.22
Substituting these dimensions into the formula provided above
Consequently, the total number of tiles necessary to create the border is


= 6.48
Hence, to find the tiles required for the border, we utilized the aforementioned formula.
Answer:
Answer choice C.
.
Step-by-step explanation:
The entire question is present in the attached figure.
It is established that
The function f(x) is represented by
,
indicating a parabola that opens upward.
The vertex is situated at the point (0,0).
The function g(x) shares the same parabolic shape.
The vertex of g(x) is located at (-3,1).
Therefore,
The transformation from f(x) to g(x) can be described as:
(0,0) transforms to (-3,1).
(x,y) transforms to (x-3,y+1).
This indicates a shift of 3 units to the left and 1 unit upward.
Thus,
The equation for g(x) in vertex form can be expressed as
.
Response:
8861: 9495
Detailed explanation:
The income ratio for the years 2001 to 2003:
53,166: 56,970
To simplify, divide both sides by 6:
8,861: 9,495
This can't be simplified further, so that is the final result!
8861: 9495
I hope this helps! Have a great day:)